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Finding the Fourth Proportional to 16,287.80, 22,465.50 and 10,002.20

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Solution

The fourth proportional to 16,287.80, 22,465.50 and 10,002.20 is: 13,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.80 : 22,465.50 = 10,002.20 : x
  2. Step 2: Convert to fraction form
    16,287.80/22,465.50 = 10,002.20/x
  3. Step 3: Cross multiply
    16,287.80x = 22,465.50 × 10,002.20
  4. Step 4: Simplify right side
    16,287.80x = 224,704,424.10
  5. Step 5: Solve for x
    x = 224,704,424.10/16,287.80
  6. Step 6: Final answer
    x = 13,795.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.